Question

with him
Practice Set 12.2
Mother is 25 year older than her son. Find son sage if after 3 years ratio of son's
4
age to mother's age will be
The denominater of a fraction is greater than its numerator by 12. If the numerator
is decreased by 2 and the denominator is increased by 7, the new fraction
equivalent with Find the fraction.
2
2.
79
x​

Answer 1

Step-by-step explanation:

Let son's age be 'x' and mother's age be 'y'

∴y=x+25........(1)

According to question, after 5 years

Son's age =x+5 and

Mother's age =y

Ratio of son's age to mother's age =

9

4

∴

y+8

x+8

=

9

4

9(x+8)=4(y+8)

9x+72=4y+32

9x−4y+40=0........(2)

Putting (1) in (2), we get

9x−4(x+25)+40=0

9x−4x−100+40=0

5x=60

x=12

Putting this in (1), we get

y=12+25=37

Therefore son's age is 12 years and mother's age is 37 years.